Second-order evolution of Cold Dark Matter perturbations

Second-order perturbation theory is used to study the non-linear gravitational evolution of the mass distribution on scales of several tens of Mpc in the standard CDM cosmogony. The results show that non-linear evolution can move the first zero-crossing of the matter correlation function outwards if a high normalization is used, but that the change is very small with a more standard 'biased' CDM normalization. (author)